is 2 2143027 - 1
has 645116 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB0224374CFEF9172double-checked
PRP4CE55C2D437A9102verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.813467.6471%25000001250000000.87467.9143%28.688070.2076%2.5605%
PrimeNet2580.017962.0690%90001700000.00172.7321%0.019663.1053%1.0363%
GPU722620.286764.5161%100001500000.00171.4880%0.288465.0441%0.5280%
Difference+6+27.5267+3.1309%+2490000+124850000+0.8730+6.4264%+28.3997+5.1635%+5.1635%

Known prime factors (1 factor, 89.3 bits, 0.00416605% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21430277512763424786880961990909932789.279175283919073042032648
23 × 3 × 2551 × 2862993582141677
2020-12-172551286299358214167791,780,05714,871,10427,775,082

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-11-02T22:12:00ANONYMOUSManual testing2000020000---0.002--0.254%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.353%
2011-01-13T23:58:00Jocelyn LaroucheManual testing5000050000---0.005--0.512%
2011-01-24T16:33:00James Heinrichi7-9201300002632500---0.025--2.654%
2014-10-28T23:25:00Jocelyn LaroucheManual testing159950159950---0.015--1.044%
2016-06-06T01:26:58Jocelyn LaroucheManual testing17594552650006---0.043--3.265%
2016-11-13T02:06:36Jocelyn Larouchelow 4M211134211134---0.020--1.209%
2017-04-22T17:25:11Jocelyn Larouchelow 4M35189035189006---0.050--3.301%
2017-04-27T04:20:45Jocelyn Larouchelow 4M42226842226806---0.060--3.520%
2017-11-03T20:26:22mikrMSI250000012500000012---0.875--7.914%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.054--
2009-01-04T20:54:00Sturle Sundefoster.ifi260261--0.072--
2009-01-07T05:38:00Sturle Sundeginjtje.ifi261262--0.143--
2013-09-07T11:35:00ramgeisManual testing262263--0.458--
2015-03-18T10:56:00VictordeHollanderManual testing263264--0.916--
2015-03-18T10:56:00VictordeHollanderManual testing264265--1.744--
2015-12-27T16:49:16ramgeisManual testing265266--3.487--
2016-10-29T15:24:11Gordon SpenceManual testing266267--6.974--
2019-04-15T13:43:12TJAOIManual testing267268--13.95--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.764 GHz-days
Estimated T-Level:22.429
DigitsB1CurvesCompleteFacMiss
2011000136 / 1001.36025.491%
2550000136 / 2800.48661.472%

New Calculation Method

Total ECM effort:11.764 GHz-days
Estimated T-Level:22.429
DigitsB1CompleteFacMiss
20110004.4101.215%
25500000.40067.051%
302500000.02597.561%
3510000000.00199.886%


ECM Summary

B1B2factorcurvesGHz-days
50000500000013211.26
50000500000030.256
766202417689010.246


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computersB0224374CFEF91720.141
2018-04-07T20:31:51kkmrkkblmbrbkoldB0224374CFEF91720.141


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-17T15:44:19mrhlanai
751276342478688096199090993
4CE55C2D437A9102no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 422268, B2 = 4222680 (P-1 stage 2)
B1 = 351890, B2 = 3518900 (P-1 stage 2)
B1 = 175945, B2 = 5265000 (P-1 stage 2)
B1 = 422268 (P-1 stage 1)
B1 = 351890 (P-1 stage 1)
B1 = 130000, B2 = 2632500 (P-1 stage 2)
B1 = 211134 (P-1 stage 1)
B1 = 175945 (P-1 stage 1)
B1 = 159950 (P-1 stage 1)
B1 = 130000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-12-17T15:44:19+00:00